There are different areas in queueing theory. They may be classified into two major categories, performance evaluations and comparisons. We are interested in performance evaluations, in particular, to evaluate stationary characteristics such as queue length and waiting times in the steady state. Here, stationary characteristics is meant the mean characteristics over long time when systems stably work. There are various models that we are studying. Even for the same models, analyses may be different according to their probabilistic assumptions. We are currently studying
- What kind of results are obtained for Markov modulated fluid queues ?
- How service mechanism affects to system characteristics ?
- How product form networks can be used for applications ?
- How tail probabilities of stationary joint distribution of network populations decay in non-product form queueing networks ?
To this end, we also investigate properties on
- Markov processes, point processes, stationary processes, rate conservation laws, and time reversed processes.
Our students are studying
- Communication networks, maintenance problems, system optimizations.
- Stochastic order, Optimal control, Scaling limit.
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Updated, January 20, 2001 |
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